1
vote
0answers
47 views

Historical study of dynamical system

I am currently doing a historical study on my school project 'study of ODE' which slowly shift to the study of dynamical system as I am interested in pursuing my study of ode from linear system, phase ...
2
votes
3answers
340 views

Homogeneous Differential Equations Inspiration

Homogeneous first order differential equations can be solved by substituting $y/x = v$. I was wondering what is the inspiration for this. I am trying to understand the thinking behind this ...
15
votes
5answers
574 views

history of the double root solution of $ay''+by'+cy=0$

Motivation: It is a well-known fact that $ay''+by'+cy=0$ has solutions which are found from substituting the ansatz $y=e^{\lambda t}$ into the DEqn. It turns out that we replace the calculus problem ...
8
votes
3answers
599 views

The aim in a course of differential equations?

As I used to understand the primary aim of a student learning differential equations is that given a differential equation he should be able to solve it. However while recently reading a note on the ...
0
votes
1answer
103 views

omar khayyam work on ODE (ordinary differential equation)

I wanted to know if Omar Khayyam did work on ODE and if there is any connection between that and the cubic equations.
2
votes
0answers
185 views

Where did G. W. Hill develop his relative motion equations?

The equations for relative orbital motion are commonly known as "Hill's equations" (also Clohessy-Wiltshire equations), and the citation given to G. W. Hill's 1878 "Researches in Lunar Theory" in the ...
1
vote
3answers
486 views

Book recommendation on the history of PDE/ODE?

I would like to know something like what's the first PDE etc. Could you recommend book on the history of PDE/ODE? thanks.